Least Common Multiple of 292 and 295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 292 and 295 the smallest integer that is 86140 that is divisible by both numbers.

Least Common Multiple (LCM) of 292 and 295 is 86140.

LCM(292,295) = 86140

LCM of 292 and 295

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 292 and 295

LCM of 292 and 295 is 86140

Least common multiple can be found by multiplying the highest exponent prime factors of 292 and 295. First we will calculate the prime factors of 292 and 295.

Prime Factorization of 292


2 292
2 146
73 73
1

Prime factors of 292 are 2,73. Prime factorization of 292 in exponential form is:

292 = 22×731

Prime Factorization of 295


5 295
59 59
1

Prime factors of 295 are 5,59. Prime factorization of 295 in exponential form is:

295 = 51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 292 and 295.

LCM(292,295) = 22×51×591×731
LCM(292,295) = 86140

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Least Common Multiple of 292 and 295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 292 and 295, than apply into the LCM equation.

GCF(292,295) = 1
LCM(292,295) = ( 292 × 295) / 1
LCM(292,295) = 86140 / 1
LCM(292,295) = 86140

Properties of LCM 292 and 295

(i) The LCM of 295 and 292 is associative

LCM of 292 and 295 = LCM of 295 and 292

Related Least Common Multiples of 292

Related Least Common Multiples of 295

Frequently Asked Questions on LCM of 292 and 295

1. What is the LCM of 292 and 295?

Answer: LCM of 292 and 295 is 86140.

2. What are the Factors of 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

3. What are the Factors of 295?

Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.

4. How to Find the LCM of 292 and 295?

Answer:

Least Common Multiple of 292 and 295 = 86140

Step 1: Find the prime factorization of 292

292 = 2 x 2 x 73

Step 2: Find the prime factorization of 295

295 = 5 x 59

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 86140 = 2 x 2 x 5 x 59 x 73

Step 4: Therefore, the least common multiple of 292 and 295 is 86140.